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Activity Number: 82 - New Statistical Methods for Survival Analysis in Complex Biomedical Studies
Type: Invited
Date/Time: Monday, August 8, 2022 : 8:30 AM to 10:20 AM
Sponsor: Lifetime Data Science Section
Abstract #320675
Title: Feature Screening for Case-Cohort Studies with Failure Time Outcome
Author(s): Jianwen Cai* and Jing Zhang and Yanyan Liu and Haibo Zhou
Companies: University of North Carolina at Chapel Hill and Zhongnan University of Economics and Law and Wuhan University and University of North Carolina at Chapel Hill
Keywords: case-cohort design; marginal hazards regression model; sure screening property; survival data; ultrahigh-dimensional data; weighted estimating equation
Abstract:

Case-cohort design has been demonstrated to be an economical and effective approach in large cohort studies when the measurement of some covariates on all individuals is expensive. Various methods have been proposed for case-cohort data when the dimension of covariates is smaller than sample size. However,limited work has been done for high-dimensional case-cohort data which are frequently collected in large epidemiological studies. We propose a variable screening method for ultrahigh-dimensional case-cohort data under the framework of proportional model, which allows the covariate dimension increases with sample size at exponential rate. Our procedure enjoys the sure screening property and the ranking consistency under some mild regularity conditions. We further extend this method to an iterative version to handle the scenarios where some covariates are jointly important but are marginally unrelated or weakly correlated to the response. The finite sample performance of the proposed procedure is evaluated via both simulation studies and an application to a real data from the breast cancer study.


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